706929289506000 has 1280 divisors, whose sum is σ = 2824720246333440. Its totient is φ = 167556522240000.

The previous prime is 706929289505983. The next prime is 706929289506001. The reversal of 706929289506000 is 605982929607.

It is a super-2 number, since 2×706929289506000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706929289506001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6051019587 + ... + 6051136413.

It is an arithmetic number, because the mean of its divisors is an integer number (2206812692448).

Almost surely, 2^{706929289506000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 706929289506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412360123166720).

706929289506000 is an abundant number, since it is smaller than the sum of its proper divisors (2117790956827440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

706929289506000 is a wasteful number, since it uses less digits than its factorization.

706929289506000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117098 (or 117076 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 706929289506000 in words is "seven hundred six trillion, nine hundred twenty-nine billion, two hundred eighty-nine million, five hundred six thousand".